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Finding the Fourth Proportional to 51,879.92, 77,695.11 and 29,625.84

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Solution

The fourth proportional to 51,879.92, 77,695.11 and 29,625.84 is: 44,367.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,879.92 : 77,695.11 = 29,625.84 : x
  2. Step 2: Convert to fraction form
    51,879.92/77,695.11 = 29,625.84/x
  3. Step 3: Cross multiply
    51,879.92x = 77,695.11 × 29,625.84
  4. Step 4: Simplify right side
    51,879.92x = 2,301,782,897.64
  5. Step 5: Solve for x
    x = 2,301,782,897.64/51,879.92
  6. Step 6: Final answer
    x = 44,367.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.